Results 31 to 40 of about 70,032 (230)
Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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Solution Theory of Ginzburg-Landau Theory on BCS-BEC Crossover
Advances in Mathematical Physics, 2014 We establish strong solution theory of time-dependent Ginzburg-Landau (TDGL) systems on BCS-BEC crossover. By the properties of Besov, Sobolev spaces, and Fourier functions and the method of bootstrapping argument, we deduce that the global existence of ...
Shuhong Chen, Zhong Tan
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Olbertian Partition Function in Scalar Field Theory
Frontiers in Physics, 2020 The Olbertian partition function is reformulated in terms of continuous (Abelian) fields described by the Landau–Ginzburg action, respectively, Hamiltonian.
R. A. Treumann +2 more
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Solving generalized quintic complex Ginzburg–Landau equation by homotopy analysis method
Ain Shams Engineering Journal, 2018 In this paper, the generalized quintic complex Ginzburg–Landau equation is considered to be solved, by means of the homotopy analysis method (HAM). Two examples are solved to illustrate the efficiency of the proposed method.
Soheila Naghshband +1 more
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Ginzburg-Landau theory of deformable superconductors [PDF]
Physical Review B, 1989 A Ginzburg-Landau theory is presented for a superconductor that can also sustain a weakly first-order structural phase transition. The distortion and the superconducting order parameters are coupled so that the distorted system tends to favor superconductivity. The equations are solved for a variety of situations. It is found that for some range of the
Svensmark, H., Falicov, L.M.
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Integrability and chaotic dynamics in nonlinear dispersive stochastic model
Results in Applied MathematicsThis paper focuses on obtaining exact solutions and dynamical analysis of the stochastic real-valued Ginzburg–Landau equation driven by multiplicative Itô noise.
Muhammad Aziz-ur-Rehman +3 more
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On the Ginzburg–Landau energy of corners
NonlinearityAbstract It is a well known fact that the geometry of a superconducting sample influences the distribution of the surface superconductivity for strong applied magnetic fields. For instance, the presence of corners induces geometric terms described through effective models in sector-like regions.
Michele Correggi +2 more
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Fluttuazione termiche nella teoria di Ginzburg-Landau per i superconduttori [PDF]
, 2022 Nel descrivere i superconduttori la teoria di Ginzburg-Landau ha il vantaggio di riuscire a includere le fluttuazioni come una correzione della teoria di campo medio.
Fenoaltea, Enrico Maria
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A geometric Ginzburg–Landau problem [PDF]
Mathematische Zeitschrift, 2012 Let \(M\) be a closed surface smoothly embedded in \(\mathbb R^3\). If \(\nu\) is its normal vector, \(A\) is its second fundamental form, and \({\mathcal H}^n\) is the \(n\)-dimensional Hausdorff measure, then for \(\varepsilon > 0\), the integral \[ E_\varepsilon(M)=\frac{\sqrt\varepsilon}2\int\limits_M\left(|A|^2+\frac{\nu_1^2}{\varepsilon^2}\right ...
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THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]
Communications in Contemporary Mathematics, 2008 We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
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